What is log_{3}(a)+log_{3}(a+4) ?

The solution to log_{3}(a)+log_{3}(a+4) is log_{3}(a(a+4))

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simplify log_{3}(a)+log_{3}(a+4)

simplify

lo g_{3} (a) + lo g_{3} (a + 4)

lo g_{3} (a (a + 4))

Solution steps

lo g_{3} (a) + lo g_{3} (a + 4)

Apply log rule:

lo g_{a} (x) + lo g_{a} (y) = lo g_{a} (x y)

lo g_{3} (a) + lo g_{3} (a + 4) = lo g_{3} (a (a + 4))

= lo g_{3} (a (a + 4))

lo g_{3} (a) + lo g_{3} (a + 7)

ln (\frac{e}{7})

lo g_{3} (5 x) - 4 lo g_{3} (x)

lo g_{2} (11) + lo g_{2} (5)

ln (3 x + 5) - 4 ln (x) - ln (x - 1)

What is log_{3}(a)+log_{3}(a+4) ?
The solution to log_{3}(a)+log_{3}(a+4) is log_{3}(a(a+4))